A Generalization of the Massey-Ding Algorithm

Joachim Althaler; Arne Dür

doi:10.1007/s002000050092

A Generalization of the Massey-Ding Algorithm

Joachim Althaler
, Arne Dür

Research Center Steyr

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The set of all linear recurrence relations satisfied by given sequences of finite length is described by the annihilator ideal of the sequences. The Massey-Ding algorithm to compute a linear recurrence relation of minimal order for several finite sequences of equal length is generalized to compute a minimal Gröbner basis of the annihilator ideal of several finite sequences of generally different lengths.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Applicable Algebra in Engineering, Communication and Computing 9,
Volume	9
Issue number	1
DOIs	https://doi.org/10.1007/s002000050092
Publication status	Published - Apr 1998

Keywords

Annihilator ideal
Linear recurrence relation
Minimal Gröbner basis
Shift register synthesis problem

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10.1007/s002000050092

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abstract = "The set of all linear recurrence relations satisfied by given sequences of finite length is described by the annihilator ideal of the sequences. The Massey-Ding algorithm to compute a linear recurrence relation of minimal order for several finite sequences of equal length is generalized to compute a minimal Gr{\"o}bner basis of the annihilator ideal of several finite sequences of generally different lengths.",

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KW - Linear recurrence relation

KW - Minimal Gröbner basis

KW - Shift register synthesis problem

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A Generalization of the Massey-Ding Algorithm

Abstract

Keywords

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